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Finding the Fourth Proportional to 3,083.47, 4,255.10 and 1,686.13

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Solution

The fourth proportional to 3,083.47, 4,255.10 and 1,686.13 is: 2,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.47 : 4,255.10 = 1,686.13 : x
  2. Step 2: Convert to fraction form
    3,083.47/4,255.10 = 1,686.13/x
  3. Step 3: Cross multiply
    3,083.47x = 4,255.10 × 1,686.13
  4. Step 4: Simplify right side
    3,083.47x = 7,174,622.06
  5. Step 5: Solve for x
    x = 7,174,622.06/3,083.47
  6. Step 6: Final answer
    x = 2,326.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.